In the adjacent figure, ABC is a right triangle angled at A. • AB = 1 cm; AC= 2 cm. • R is the point of the segment [AB] 2 cm such that AR=x. C. • M is the point of the segment [BC] such that (RM) is parallel to (AC). 1 cm 1) Calculate BC. 2) Calculate BR and BM in terms of x. M 'B 3) Verify that RM = 2(1-x).

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 41E
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In the adjacent figure, ABC is a right triangle angled at A.
• AB = 1 cm; AC = 2 cm.
•R is the point of the segment [AB]
2 cm
such that AR=x.
Ce
• M is the point of the segment [BC]
such that (RM) is parallel to (AC).
1 cm
1) Calculate BC.
2) Calculate BR and BM in terms of x.
M
3) Verify that RM = 2(1 – x).
Transcribed Image Text:In the adjacent figure, ABC is a right triangle angled at A. • AB = 1 cm; AC = 2 cm. •R is the point of the segment [AB] 2 cm such that AR=x. Ce • M is the point of the segment [BC] such that (RM) is parallel to (AC). 1 cm 1) Calculate BC. 2) Calculate BR and BM in terms of x. M 3) Verify that RM = 2(1 – x).
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